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Finding the Third Proportional to 10,422.38 and 24,588

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Solution

The third proportional to 10,422.38 and 24,588 is: 58,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.38 : 24,588 = 24,588 : x
  2. Step 2: Convert to fraction form
    10,422.38/24,588 = 24,588/x
  3. Step 3: Cross multiply
    10,422.38x = 24,588 × 24,588
  4. Step 4: Simplify right side
    10,422.38x = 604,569,744
  5. Step 5: Solve for x
    x = 604,569,744/10,422.38
  6. Step 6: Final answer
    x = 58,006.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.